There are $100$ flash cards labelled from $1$ to $100$ in a bag. When a card is drawn from the bag at random, what is the probability of getting ..........
(i) a card with prime number from possible outcomes.
(ii) a card without prime number from possible outcomes.

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Solution

Primes number from 1 to 100 are ${2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97}$ .
$Total cases=100$
$(i) Favorable cases=25$
$probability= 25 / 100 = 1 / 4$
$(i i) Probability of not prime= 1 - 1 / 4 = 3 / 4$

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There are 100 flash cards labelled from 1 to 100 in a bag. When a card is drawn from the bag at random, what is the probability of getting ..........(i) a card with prime number from possible outcomes.(ii) a card without prime number from possible outcomes.

Primes number from 1 to 100 are {2,3,5,7,11,13,17,19,23,29,31,37,41,43,47,53,59,61,67,71,73,79,83,89,97}.Total cases=100(i)Favorable cases=25probability=25/100=1/4(ii)Probability of not prime=1−1/4=3/4

There are $100$ flash cards labelled from $1$ to $100$ in a bag. When a card is drawn from the bag at random, what is the probability of getting ..........
(i) a card with prime number from possible outcomes.
(ii) a card without prime number from possible outcomes.

Primes number from 1 to 100 are ${2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97}$ .
$Total cases=100$
$(i) Favorable cases=25$
$probability= 25 / 100 = 1 / 4$
$(i i) Probability of not prime= 1 - 1 / 4 = 3 / 4$